Question

Hi. Someone help me out asap please!

Answer 1

3.
a) (3x - 7) + 5
b) 3(x + 5) - 7
c) - 11
d) 35

4.
f^-1 = (1/5)x + 7
f^-27 = -142

Answer 2

(3)

(a) $(f\circ g)(x)= f(g(x))=(3x-7)+5 = 3x-2$

(b)$(g\circ f)(x) = g(f(x)) = 3(x+5)-7=3x+8$

(c) $(f\circ g)(-3) =3(-3)-2=-11$

(d) $(g\circ f)(9) = 3\cdot9+8=35$

(4) $f(x) = 5x -7 \\f^{-1}(f(x))=f^{-1}(5x-7)\\x = 5f^{-1}(x)-7\\f^{-1}(x) = \frac{1}{5}x+\frac{7}{5}$

$f^{-1}(-27) = \frac{1}{5}(-27)+\frac{7}{5}=-4$